Hans Nguyen
Dirac operators on noncommutative hypersurfaces
Nguyen, Hans; Schenkel, Alexander
Abstract
© 2020 Elsevier B.V. This paper studies geometric structures on noncommutative hypersurfaces within a module-theoretic approach to noncommutative Riemannian (spin) geometry. A construction to induce differential, Riemannian and spinorial structures from a noncommutative embedding space to a noncommutative hypersurface is developed and applied to obtain noncommutative hypersurface Dirac operators. The general construction is illustrated by studying the sequence Tθ2↪Sθ3↪Rθ4 of noncommutative hypersurface embeddings.
Citation
Nguyen, H., & Schenkel, A. (2020). Dirac operators on noncommutative hypersurfaces. Journal of Geometry and Physics, 158, Article 103917. https://doi.org/10.1016/j.geomphys.2020.103917
Journal Article Type | Article |
---|---|
Acceptance Date | Sep 3, 2020 |
Online Publication Date | Sep 9, 2020 |
Publication Date | Dec 1, 2020 |
Deposit Date | Sep 11, 2020 |
Publicly Available Date | Mar 29, 2024 |
Journal | Journal of Geometry and Physics |
Print ISSN | 0393-0440 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 158 |
Article Number | 103917 |
DOI | https://doi.org/10.1016/j.geomphys.2020.103917 |
Keywords | Noncommutative geometry; Bimodule connections; Dirac operators; Noncommutative hypersurfaces |
Public URL | https://nottingham-repository.worktribe.com/output/4896460 |
Publisher URL | https://www.sciencedirect.com/science/article/pii/S039304402030214X |
Additional Information | Nguyen, H., & Schenkel, A. (2020). Dirac operators on noncommutative hypersurfaces. Journal of Geometry and Physics, 103917. https://doi.org/10.1016/j.geomphys.2020.103917 |
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